
where \(A_H\) , \(B_H\) , \(h_H\)  and \(h_1\)  are the integration constants which are obtained by applying appropriate boundary conditions at the black hole horizon (REF ) and the boundary of this background \(\phi \rightarrow 0\)  [1]}, [2]}
\(A_H&=\frac{\ln (\phi _H)}{\Delta -4}+\int _0^{\phi _H}d\phi \left[G(\phi )-\frac{1}{(\Delta -4)\phi }\right],\\B_H&=\ln \left(-\frac{4V(\phi _H)}{V(0)V^{\prime }(\phi _H)}\right)+\int _0^{\phi _H} \frac{d\phi }{6G(\phi )},\\h_H&=0,\\h_1&=\frac{1}{\int _{\phi _H}^0 d\phi e^{-4A(\phi )+B(\phi )}}.\) 
